3x(2x-5)+2x=-7

Simple and best practice solution for 3x(2x-5)+2x=-7 equation. Check how easy it is, and learn it for the future. Our solution is simple, and easy to understand, so don`t hesitate to use it as a solution of your homework.

If it's not what You are looking for type in the equation solver your own equation and let us solve it.

Solution for 3x(2x-5)+2x=-7 equation: 


Simplifying
3x(2x + -5) + 2x = -7

Reorder the terms:
3x(-5 + 2x) + 2x = -7
(-5 * 3x + 2x * 3x) + 2x = -7
(-15x + 6x2) + 2x = -7

Reorder the terms:
-15x + 2x + 6x2 = -7

Combine like terms: -15x + 2x = -13x
-13x + 6x2 = -7

Solving
-13x + 6x2 = -7

Solving for variable 'x'.

Reorder the terms:
7 + -13x + 6x2 = -7 + 7

Combine like terms: -7 + 7 = 0
7 + -13x + 6x2 = 0

Factor a trinomial.
(1 + -1x)(7 + -6x) = 0


Subproblem 1
Set the factor '(1 + -1x)' equal to zero and attempt to solve:

Simplifying
1 + -1x = 0

Solving
1 + -1x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-1' to each side of the equation.
1 + -1 + -1x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -1x = 0 + -1
-1x = 0 + -1

Combine like terms: 0 + -1 = -1
-1x = -1

Divide each side by '-1'.
x = 1

Simplifying
x = 1

Subproblem 2
Set the factor '(7 + -6x)' equal to zero and attempt to solve:

Simplifying
7 + -6x = 0

Solving
7 + -6x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-7' to each side of the equation.
7 + -7 + -6x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -6x = 0 + -7
-6x = 0 + -7

Combine like terms: 0 + -7 = -7
-6x = -7

Divide each side by '-6'.
x = 1.166666667

Simplifying
x = 1.166666667
Solution
x = {1, 1.166666667}

See similar equations:

| 50z+10=360 | | 2x-1(3-x)=0 | | -3(3x+3)=-2(4y+1) | | x=25+.15x | | log(3x)=-4 | | 2(x-2)=-(4x) | | 2(2l+7)=22whatisl | | 22x+30= | | 2(2l+7)=22 | | 2in(5x)=4 | | Logx(3x-13)=1 | | 5x=10-10 | | 3(x+4)+2x=24 | | 4y+15=53-y | | -x=36-5x | | x+x(0.06)=124.28 | | 30-9x=-7x+21 | | tan^2x-3tanx=0 | | 17(9q+6)= | | 9z-14z=20 | | 8x+3=2x+2 | | -s^2-20s+240=0 | | 2x+5xy=15 | | -5x+7x-9x=0 | | 4cos(x)=3sec(x) | | x^2-8x+13.56=0 | | -8x+4y=-8 | | 5x-8(x+5)=6+-3x | | 3(-3)-2(1)=11 | | 5y-8x=0 | | (y+7)+(y+7)=y^2 | | 9.2=-logx |

Equations solver categories